Question

Вычислите f штрих,если f(x)=4^4 ln x

Answer 1

f ' (x) = (x^4 * lnx) ' =
= x^4 (lnx) ' + (x^4)' lnx = 
= x^4 /x + 4x^3*lnx = 
= x^3 + 4x^3*lnx = 
= x^3 (1 + 4*lnx)